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Use the Laplace transform to solve each of the following equations: (a) f'(t) + f(t) = 3 where f(0) = 0 (b) 3f' (t) + 2f (t) = t where f(0) = -2 (c) f"(t) +5f' (t) + 6f (t) = 2e¯t where f(0) = 0 and f'(0) = 0 (d) f" (t) - 4f (t) = sin 2t where f(0) = 1 and f'(0) = -2

Use the Laplace transform to solve each of the following equations: (a) f'(t) + f(t) = 3 where f(0) = 0 (b) 3f' (t) + 2f (t) = t where f(0) = -2 (c) f"(t) +5f' (t) + 6f (t) = 2e¯t where f(0) = 0 and f'(0) = 0 (d) f" (t) - 4f (t) = sin 2t where f(0) = 1 and f'(0) = -2

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 54E
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Use the Laplace transform to solve each of the following equations: (a) f'(t) + f(t) = 3 where f(0) = 0 (b) 3f' (t) + 2f (t) = t where f(0) = -2 (c) f"(t) +5f' (t) + 6f (t) = 2et where f(0) = 0 and f'(0) = 0 (d) f" (t) - 4f (t) = sin 2t where f(0) = 1 and f'(0) = -2
Transcribed Image Text:Use the Laplace transform to solve each of the following equations: (a) f'(t) + f(t) = 3 where f(0) = 0 (b) 3f' (t) + 2f (t) = t where f(0) = -2 (c) f"(t) +5f' (t) + 6f (t) = 2et where f(0) = 0 and f'(0) = 0 (d) f" (t) - 4f (t) = sin 2t where f(0) = 1 and f'(0) = -2
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